Professors A and B are teaching different sections of Math 124. Mike is in Profe

Question

Professors A and B are teaching different sections of Math 124. Mike is in Professor A's class and Katie is in Professor B's class. On the midterm exam, Mike scored 293 points and Katie scored 82 points. The scores of both exams were normally distributed and both professors grade on the normal curve. Use a z-score to determine who will receive the better grade. 3. Mike: Professor A's exam has a mean ? Katie: Professor B's exam had a mean ? 278 and a standard deviation 78 and a standard deviation ? 25 8 Z -SCOore A. Mike received the better grade. B. Katie received the better grade. C. Mike and Katie scores were equal. D. Their scores are not comparable. 4. The ages of the members of a local gym have a mean of 47 years and a standard deviation of 10 years. According to Chebyshev's Theorem where the shape of a distribution is unknown, what can you conclude about the percentage of gym members aged between 17 and 77? Minimum % ofdata = (1-)100 k2 A. B. C. D. The percentage is at least 89%. The percentage is at least 94% The percentage is at least 84%. The percentage is at least 75%.

Explanation / Answer

3.

Z score of mike = (293 - 278) / 25 = 0.6

Z score of kaite = (82 - 78) / 8 = 0.5

So mike recieved better grade. option (a)

4.

range of age = ( mean ± k * (SD) ) = ( 17 , 77)

( 47 ± k * (10) ) = ( 17 , 77)

So k = 3

minimum % of data = ( 1 - ( 1 / k2 ) ) * 100

= ( 1 - 1/9 ) * 100 = 88.88 % = 89 %

So option is at least 89 % so option (a)

Related Questions

Navigate

• Browse (All)
• Browse P
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.